Complementary Angle Relationships in Trigonometry Complementary angles are two angles that add up to 180 degrees. They are opposite each other, and their...
Complementary angles are two angles that add up to 180 degrees. They are opposite each other, and their angles are equal in measure.
For example, if angle A and angle B are complementary, then angle A = angle B.
There are many relationships between the measures of complementary angles, including:
The sum of the angles in a triangle is always 180 degrees. This means that if you have two complementary angles, then the third angle must be 180 - the sum of the other two angles.
The angles opposite the complementary angles are congruent. This means that if you have two complementary angles, then they are equal in measure.
The angles opposite the complementary angles are supplementary. This means that they add up to 180 degrees.
Complementary angle relationships are used in many trigonometric calculations, including finding the measures of angles in triangles, calculating the area of circles, and solving geometric problems